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Finding the Third Proportional to 608.91 and 1,327.59

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Solution

The third proportional to 608.91 and 1,327.59 is: 2,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.91 : 1,327.59 = 1,327.59 : x
  2. Step 2: Convert to fraction form
    608.91/1,327.59 = 1,327.59/x
  3. Step 3: Cross multiply
    608.91x = 1,327.59 × 1,327.59
  4. Step 4: Simplify right side
    608.91x = 1,762,505.17
  5. Step 5: Solve for x
    x = 1,762,505.17/608.91
  6. Step 6: Final answer
    x = 2,894.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.